Sequences and Series Formulas

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5 Terms

1
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nth term of an arithmetic sequence

an = a1+(n-1)d

2
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sum of arithmetic

Sn=n/2(a1+an) OR Sn=n/2{2a+1(n-1)d]

3
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nth term of a geometric sequence

an=a1*rn-1

4
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sum of geometric

Sn=a1(1-rn)/1-r

5
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sum of infinite geometric

S=a1/1-r